Bellman-Ford Algorithm
Implement the Bellman-Ford algorithm to compute shortest distances from a source in a directed weighted graph with up to 100 vertices and negative edges.
Cycle Detection in a Directed Graph
Use DFS with a recursion stack to detect cycles in a directed graph.
Cycle Detection in Undirected Graph
Write a function that detects if an undirected graph contains a cycle.
Articulation Points
Implement a function that returns the articulation points of an undirected graph.
Bridges in Graph
Implement a function that returns all bridges in an undirected graph.
Hamiltonian Path Check
Implement a function that checks whether an undirected graph has a Hamiltonian path using DFS and backtracking.
Minimum Cut
Given an undirected graph in adjacency-list form, return the size of the minimum edge cut that disconnects the graph.
Bipartite Graph Check
Implement a function to check if an undirected graph is bipartite using graph coloring.
Graph Coloring
Given an undirected graph, determine if it can be colored with two colors such that adjacent vertices have different colors.
All Paths from Source to Target
Given a directed acyclic graph, return all paths from node 0 to the last node.
Network Delay Time
Given a directed weighted graph and a starting node, find the minimum time for a signal to reach all nodes, or -1 if unreachable.
Cheapest Flights Within K Stops
Implement a function to compute the cheapest flight price from source to destination with at most K stops in a directed weighted graph.
Prim's Minimum Spanning Tree
Given a connected undirected weighted graph, compute the total weight of its minimum spanning tree using Prim's algorithm.
Kruskal MST
Implement Kruskal's algorithm to compute the total weight of a minimum spanning tree in a connected undirected graph.
Topological Sort via DFS
Return a deterministic topological ordering of nodes in a directed acyclic graph using DFS, or an empty list if a cycle exists.
Strongly Connected Components (Kosaraju's Algorithm)
Implement a function to find strongly connected components in a directed graph using Kosaraju's algorithm.
Clique Detection
Given an undirected graph and a list of vertices, check if every pair of distinct vertices in the list is connected by an edge.
Minimum Height Trees
Given an undirected tree, find all root nodes that minimize the height of the tree.
Floyd-Warshall: All-Pairs Shortest Paths
Implement the Floyd-Warshall algorithm to find all-pairs shortest path distances in a directed graph with possibly negative weights but no negative cycles.
Showing 19 challenges · Graphs & Graph Algorithms
Graphs & Graph Algorithms — Python coding challenges
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